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Finding the Third Proportional to 342,555 and 735,603

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Solution

The third proportional to 342,555 and 735,603 is: 1,579,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,555 : 735,603 = 735,603 : x
  2. Step 2: Convert to fraction form
    342,555/735,603 = 735,603/x
  3. Step 3: Cross multiply
    342,555x = 735,603 × 735,603
  4. Step 4: Simplify right side
    342,555x = 541,111,773,609
  5. Step 5: Solve for x
    x = 541,111,773,609/342,555
  6. Step 6: Final answer
    x = 1,579,634.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.